Question

When Keisha installed a fence along the 200-foot perimeter of her rectangular backyard, she left an opening for a gate. In the diagram below, she used x to represent the length, in feet, of the gate.

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What is the value of x, if the equation 2(x + 60) + 2(30) = 200 represents the Perimeter for the fencing of the backyard?

Answer 1

2(x + 60) + 2(30) = 200

2x + 120 + 60 = 200

2x + 180 = 200

2x = 20

x = 10 ft

Answer 2

Explanation:

From the picture attached, equation of the perimeter of the fence of the backyard should be,

(x + 60) + (60) + 2(30) = 200

x + 2(60) + 2(30) = 200

x + 120 + 60 = 200

x + 180 = 200

x = 200 - 180

x = 20 ft

If the given equation for the perimeter for the fencing of the backyard (As given in the question) is,

2(x + 60) + 2(30) = 200

2x + 120 + 60 = 200

2x + 180 = 200

2x = 20

x = 10 ft